EIGENFUNCTIONS

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  • 期刊=Acta Mathematicae Applicatae Sinicax
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The Hot Spots Conjecture on a Class of Domains in R^n with n≥3
《Acta Mathematicae Applicatae Sinica》2011年第4期639-646,共8页Peng-fei YANG 
In this paper, we define a class of domains in R^n. Using the synchronous coupling of reflecting Brownian motion, we obtain the monotonicity property of the solution of the heat equation with the Neumann boundary cond...
关键词：synchronous coupling reflecting Brownian motion hot spots conjecture Neumann eigenfunctions 
On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders被引量：4
《Acta Mathematicae Applicatae Sinica》2003年第1期107-116,共10页GaoJia Xiao-pingYang Chun-linQian 
Abstract Let $\Omega \subset R^m (m\ge 1)$ be a bounded domain with piecewise smooth boundary $\partial \Omega$. Let t and r be positive integers with t > r + 1. We consider the eigenvalue problems (1.1) and (1.2), an...
关键词：Keywords Uniformly elliptic operators of any orders EIGENVALUES EIGENFUNCTIONS any orders upper bond 
On Eigenvalue Intervals and Eigenfunctions of Nonresonance Singular Dirichlet Boundary Value Problems
《Acta Mathematicae Applicatae Sinica》2002年第4期569-578,共10页Zhao-cai HaoDepartment of Mathematics, Qufu Normal University, Qufu 273165, China 
the National Natural Science Foundation of China (No.19871048);Natural Science Foundation of Shandong Province of China (No.Z2000A02, Y2001A03).
In this paper we shall consider the nonresonance Dirichlet boundary value problemwhere λ>0 is a parameter, p>0 is a constant. Intervals of A are determined to ensure the existence of a nonnegative solution of the bou...
关键词：Eigenvalue intervals EIGENFUNCTIONS fixed points cone 
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